Материалы сборника предназначены для специалистов.

Альтернативные определения, излагаемые в книге, реализуют возможности продуктивного мышления, являются источником смысла творческих исканий. Для студентов, преподавателей вузов и всех тех, кто интересуется человекознанием.

. Remarkably, despite the tremendous success of axiomatic set-theory in mathematics, logic and meta-mathematics, e.g., model-theory, two philosophical worries about axiomatic set-theory as the adequate catch of the set-concept keep haunting it. Having dealt with one worry in a previous paper in this journal, we now fulfil a promise made there, namely to deal with the second worry. The second worry is the Skolem Paradox and its ensuing Skolemite skepticism. We present a comparatively novel and simple analysis of the argument (...) of the Skolemite skeptic, which will reveal a general assumption concerning the meaning of the set-concept (we call it Connexion M). We argue that the Skolemite skeptics argument is a petitio principii and that consequently we find ourselves in a dialectical situation of stalemate.Few (if any) working set-theoreticians feel a tension – let alone see a paradox – between, on the one hand, what the Löwenheim–Skolem theorems and related results seem to be telling us about the set-concept, and, on the other hand, their uncompromising and successful use of the set-concept and their continuing enthusiasm about it, in other words: their lack of skepticism about the set-concept. Further, most (if not all) working settheoreticians have a relaxed attitude towards the ubiquitous undecidability phenomenon in set-theory, rather than a worrying one. We argue these are genuine philosophical problems about the practice of set-theory. We propound solutions, which crucially involve a renunciation of Connexion M. This breaks the dialectical situation of stalemate against the Skolemite skeptic. (shrink)

Dialektika mifa -- Raboty 1916-1988 godov -- Istorii︠a︡ filosofii kak shkola mysli.

In order to cure the social sciences of many of their inveterate diseases, it seems to me extremely important and useful to support and develop in some measure A.S. Tsipko's ideas on the doctrinal preconditions of our difficulties and failures in the building of socialism, ideas that have provoked such wide-ranging responses.